Final answer:
The question involves identifying the elementary matrix e that transforms matrix a into matrix b by an elementary row operation. The solution requires applying the row operation to an identity matrix to find e and verifying the product ea equals b.
Step-by-step explanation:
The question asks to find the elementary matrix e such that when it is multiplied by a given matrix a, the product is another given matrix b. An elementary matrix is a matrix that can be obtained by performing a single elementary row operation on an identity matrix. Finding an elementary matrix e such that ea = b involves determining the row operation needed to transform a into b.
To solve this problem, we need to:
- Identify the elementary row operation that converts matrix a into matrix b.
- Apply this row operation to an identity matrix of the same size as a and b to get the elementary matrix e.
- Verify that ea = b to ensure the correctness of the obtained e.
Unfortunately, without explicit matrices a and b, we cannot provide the specific elementary matrix e.